Abstract
This work introduces a novel boundary integral equation (BIE) method for the numerical solution of time-harmonic acoustic and electromagnetic scattering problems in the presence of periodic media in two and three dimensions. We consider both 1d- and 2d-periodic infinite arrays of bounded penetrable scatterers. Our approach is based on the windowed Green function method [1], and it relies on a direct BIE formulation using the free-space Green function instead of the quasi-periodic one. The resulting BIE system involves integrals over the (unbounded) unit cell’s boundary. Such integrals are approximated via window integration that introduces errors that decay super-algebraically fast as the window size increases. The resulting second-kind BIE system is then discretized using a Nyström-based density interpolation method [2] that, away from Wood’s anomalies, leads to well-conditioned linear systems.
Original language | English |
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Title of host publication | Conference on Mathematics of Wave Phenomena |
Pages | 54-54 |
Publication status | Published - 15 Feb 2022 |
Event | Conference on Mathematics of Wave Phenomena 2022 - Karlsruhe Institute of Technology, Karlsruhe (Onlline), Germany Duration: 14 Feb 2022 → 18 Feb 2022 Conference number: 2 https://conference22.waves.kit.edu/ |
Conference
Conference | Conference on Mathematics of Wave Phenomena 2022 |
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Country/Territory | Germany |
City | Karlsruhe (Onlline) |
Period | 14/02/22 → 18/02/22 |
Internet address |